Emily and Ashley are partners who share profits and losses in the ratio of 6:4. Their capital balances are \$25,000 and \$10,000, respectively. If Jenny is admitted to the partnership for \$15,000 for a one-fourth interest, her capital balance will be: A) $15,000 B) $16,667 C) $12,500 D) $25,000
Question:
Emily and Ashley are partners who share profits and losses in the ratio of 6:4. Their capital balances are \$25,000 and \$10,000, respectively. If Jenny is admitted to the partnership for \$15,000 for a one-fourth interest, her capital balance will be: A) $15,000 B) $16,667 C) $12,500 D) $25,000
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Asked by: Test User 100100
Created at: 2025-05-13 06:13:23
Asked by: Test User 100100
Created at: 2025-05-13 06:13:23
Final Answer:
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Let's break down the problem step by step:
### 1. **Calculate Total Capital Before Admission**
- Emily: \$25,000
- Ashley: \$10,000
**Total capital before Jenny enters:**
\$25,000 + \$10,000 = **\$35,000**
---
### 2. **Jenny's Admission**
Jenny pays **\$15,000** for a **1/4 (25%) interest** in the partnership.
---
### 3. **Implied Total Capital After Admission**
If Jenny's \$15,000 is for a **1/4 interest**, the **total capital implied** is:
\[
\text{Implied Total Capital} = \frac{\$15,000}{1/4} = \$60,000
\]
---
### 4. **Total Capital After Admission**
If the partnership chooses to **revalue (bonus method)**, the new total capital will be \$35,000 (old) + \$15,000 (Jenny's investment) = **\$50,000**.
But since Jenny is getting a 1/4 interest for \$15,000, and the implied total capital is \$60,000, there is a **bonus to the old partners** of:
\[
\$60,000 - \$50,000 = \$10,000
\]
This \$10,000 bonus will be allocated to Emily and Ashley in their profit-sharing ratio (6:4).
---
### 5. **Allocate the Bonus**
- Emily: \( \$10,000 \times \frac{6}{10} = \$6,000 \)
- Ashley: \( \$10,000 \times \frac{4}{10} = \$4,000 \)
**New capital balances:**
- Emily: \$25,000 + \$6,000 = \$31,000
- Ashley: \$10,000 + \$4,000 = \$14,000
- Jenny: \$15,000
**Total: \$31,000 + \$14,000 + \$15,000 = \$60,000**
---
### 6. **Check Jenny's Capital**
Jenny's capital balance will be her investment, **\$15,000**.
---
## **Final Answer**
**Jenny's capital balance will be:**
\[
\boxed{\$15,000}
\]
**Correct answer: A) \$15,000**
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